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Simplifying 0.5x(n + 3) * x(n + -3) = 9 Reorder the terms: 0.5x(3 + n) * x(n + -3) = 9 Reorder the terms: 0.5x(3 + n) * x(-3 + n) = 9 Reorder the terms for easier multiplication: 0.5x * x(3 + n)(-3 + n) = 9 Multiply x * x 0.5x2(3 + n)(-3 + n) = 9 Multiply (3 + n) * (-3 + n) 0.5x2(3(-3 + n) + n(-3 + n)) = 9 0.5x2((-3 * 3 + n * 3) + n(-3 + n)) = 9 0.5x2((-9 + 3n) + n(-3 + n)) = 9 0.5x2(-9 + 3n + (-3 * n + n * n)) = 9 0.5x2(-9 + 3n + (-3n + n2)) = 9 Combine like terms: 3n + -3n = 0 0.5x2(-9 + 0 + n2) = 9 0.5x2(-9 + n2) = 9 (-9 * 0.5x2 + n2 * 0.5x2) = 9 Reorder the terms: (0.5n2x2 + -4.5x2) = 9 (0.5n2x2 + -4.5x2) = 9 Solving 0.5n2x2 + -4.5x2 = 9 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4.5x2' to each side of the equation. 0.5n2x2 + -4.5x2 + 4.5x2 = 9 + 4.5x2 Combine like terms: -4.5x2 + 4.5x2 = 0.0 0.5n2x2 + 0.0 = 9 + 4.5x2 0.5n2x2 = 9 + 4.5x2 Divide each side by '0.5x2'. n2 = 18x-2 + 9 Simplifying n2 = 18x-2 + 9 Reorder the terms: n2 = 9 + 18x-2 Reorder the terms: -9 + n2 + -18x-2 = 9 + 18x-2 + -9 + -18x-2 Reorder the terms: -9 + n2 + -18x-2 = 9 + -9 + 18x-2 + -18x-2 Combine like terms: 9 + -9 = 0 -9 + n2 + -18x-2 = 0 + 18x-2 + -18x-2 -9 + n2 + -18x-2 = 18x-2 + -18x-2 Combine like terms: 18x-2 + -18x-2 = 0 -9 + n2 + -18x-2 = 0 The solution to this equation could not be determined.
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